Mathematics: Prove that 5^7+5^6 is divisible by 6. Please give it as a power, and not a full number--thank you so much to whoever responds! ^^

Prove that 5^7+5^6 is divisible by 6. Please give

francisco42002

21.01.2022

The Proof for $5^{7}+5^{6}\ is\ divisible\ by\ 6$ is below.

Step-by-step explanation:

To Prove:

$5^{7}+5^{6}\ is\ divisible\ by\ 6$

Proof:

We know law of indices

$a^{m}.a^{n}=a^{m+n}$

Therefore,

Step 1: Applying law of indices

$\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}$

Step 2: Taking common $5^{6}$ we get

$\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})$

Step 3: $5^{1} = 5$ so add 5 + 1 we get

$\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}$

Step 4: Cancel 6 from both denominator and numerator we get

$\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6}$ ...That is Divisible by 6 Proved

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cmfield8810

31.12.2020

Step-by-step explanation:

It is exponential growth and will eventually have a much higher balance

if i plug in for an example 2 in for x B starts of higher. When i put in 10 it shows that after 10 A is actually higher. This is why the answer is c

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